Search a number
-
+
40871529707904 = 2733729131444713
BaseRepresentation
bin10010100101100001001010…
…00000100111100110000000
312100201021120011211101221000
421102300211000213212000
520324114343101123104
6222532042130332000
711415604415244150
oct1122604500474600
9170637504741830
1040871529707904
1112028578002045
12470121472a000
1319a6226882a8c
14a1429a690760
154ad267a86639
hex252c25027980

40871529707904 has 512 divisors, whose sum is σ = 143703103104000. Its totient is φ = 11188811612160.

The previous prime is 40871529707761. The next prime is 40871529707927. The reversal of 40871529707904 is 40970792517804.

40871529707904 is a `hidden beast` number, since 408 + 7 + 1 + 52 + 97 + 0 + 7 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91683052 + ... + 92127764.

It is an arithmetic number, because the mean of its divisors is an integer number (280670123250).

Almost surely, 240871529707904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40871529707904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71851551552000).

40871529707904 is an abundant number, since it is smaller than the sum of its proper divisors (102831573396096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40871529707904 is a wasteful number, since it uses less digits than its factorization.

40871529707904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444903 (or 444885 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 40871529707904 in words is "forty trillion, eight hundred seventy-one billion, five hundred twenty-nine million, seven hundred seven thousand, nine hundred four".